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Finding the Fourth Proportional to 687,002.70, 948,064.52 and 400,578.14

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Solution

The fourth proportional to 687,002.70, 948,064.52 and 400,578.14 is: 552,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,002.70 : 948,064.52 = 400,578.14 : x
  2. Step 2: Convert to fraction form
    687,002.70/948,064.52 = 400,578.14/x
  3. Step 3: Cross multiply
    687,002.70x = 948,064.52 × 400,578.14
  4. Step 4: Simplify right side
    687,002.70x = 379,773,922,021.59
  5. Step 5: Solve for x
    x = 379,773,922,021.59/687,002.70
  6. Step 6: Final answer
    x = 552,798.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.